简要介绍了连续相场方法,包括:连续界面近似;有保守场变量和非保守场变量组成的相场变量;微观结构演化的化学驱动力,如体自由能、界面能、弹性畸变能、外场能量等;连续相场模型中的动力学方程,其中保守场变量在时间和空间上的演化遵循Cahn-Hilliard的非线性扩散方程,非保守场变量遵循Allen-Cahn弛豫方程;动力学方程的常见数值解法.最后还简要介绍了几种常见的相场模型.
参考文献
| [1] | Rowlinson J .The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density[J].Journal of Statistical Physics,1979,20:197. |
| [2] | Chen Longqing .Phase-field models for microstructure evolution[J].Annual Review of Materials Research,2002,32:113. |
| [3] | Cahn J W;Hilliard J E .Free energy of a nonuniform system.Ⅰ.Interfacial free energy[J].Journal of Chemical Physics,1958,28:258. |
| [4] | D.罗伯;项金钟;吴兴惠.计算材料学[M].北京:化学工业出版社,2002 |
| [5] | Chen L Q;Yang W .Computer simulation of the domain dynamics of quenched system with a large number of nonconserved order parameters:The grain-growth kinetics[J].Physical Review B:Condensed Matter,1994,50:15752. |
| [6] | Steinbach I.;Nestler B.;Seesselberg M.;Prieler R.;Schmitz GJ.;Rezende JLL.;Pezzolla F. .A PHASE FIELD CONCEPT FOR MULTIPHASE SYSTEMS[J].Physica, D. Nonlinear phenomena,1996(3):135-147. |
| [7] | Ryo Kobayashi;James A Warren;Craig Carter W .A continuum model of grain boundaries[J].Physical Review D,2000,140:141. |
| [8] | Yang Wei;Chen Longqing;Gary L Messing .Computer simulation of asisotropic grain growth[J].Materials Science and Engineering A:Structural Materials Properties Microstructure and Processing,1995,195:179. |
| [9] | Chirranjeevi B G;Abinandanan T A;Gururajan M P .A phase field study of morphological instabilities in multilayer thin films[J].Acta Materialia,2007,57:1060. |
| [10] | Artemev A;Slutsker J;Roytburd AL .Phase field modeling of self-assembling nanostructures in constrained films[J].Acta materialia,2005(12):3425-3432. |
| [11] | Jin Y;Wang Y;Khachaturyan A .Three-dimensional phase field microelasticity theory and modelling of multiple cracks and voids[J].Applied Physics Letters,2001,29:3071. |
| [12] | S. Choudhury;Y. L. Li;C. E. Krill III .Phase-field simulation of polarization switching and domain evolution in ferroelectric polycrystals[J].Acta materialia,2005(20):5313-5321. |
| [13] | Zhang J;Chen L .Phase-field microelasticity theory and micromagnetic simulations of domain structures in giant magnetostrictive materials[J].Acta Materialia,2005,53:2845. |
| [14] | Zhu J;Chen L Q;Shen J .Morphological evolution during phaseb separation and coarsening with strong inhomogeneous elasticity[J].Modelling & Simulation in Materials Science and Engineering,2001,9:499. |
| [15] | Orlikowski D.;Somoza A.;Roland C.;Sagui C. .Large-scale simulations of phase separation of elastically coherent binary alloy systems[J].Physical Review.B.Condensed Matter,1999(13):8646-8659. |
| [16] | H. Ramanarayan;T. A. Abinandanan .Phase field study of grain boundary effects on spinodal decomposition[J].Acta materialia,2003(16):4761-4772. |
| [17] | Hu S;Chen L .A phase-field model for evolving microstructures with strong elastic inhomogeneity[J].Acta Materialia,2001,49:1879. |
| [18] | Yu P;Hu S Y;Chen L Q et al.An iterative-perturbation scheme for treating inhomogeneous elasticity in phase-field models[J].Journal of Computational Physics,2005,208:34. |
| [19] | S. Y. Hu;L. Q. Chen .Diffuse-interface modeling of composition evolution in the presence of structural defects[J].Computational Materials Science,2002(1/4):270-282. |
| [20] | Tae Wook Heo;Saswata Bhattacharyya;Long-Qing Chen .A phase field study of strain energy effects on solute-grain boundary interactions[J].Acta materialia,2011(20):7800-7815. |
| [21] | Lei Zhang;Long-Qing Chen;Qiang Du .Diffuse-interface description of strain-dominated morphology of critical nuclei in phase transformations[J].Acta Materialia,2008(14):3568-3576. |
| [22] | Khachaturyan A G.Theory of structural transformations in solids[M].New York:Wiley-Interscience Publications,1983 |
| [23] | Li D Y;Chen L Q .Morphological evolution of cohent multivariant Ti11 Ni14 percipitates in Ti-Ni alloys under an applied stress by computer simulation study[J].Acta Materialia,1998,46:639. |
| [24] | Kazaryan A;Wang Y;Bruce R Patton .Generalized phase field approach for computer simulation of sintering:Incorporation of rigid-body motion[J].Scripta Materialia,1999,41:487. |
| [25] | Vaithyanathan V;Chen L Q .Coarseing kinetics of δ'-Al3Li precipitates phase-field simulation in 2D and 3D[J].Scripta Materialia,2000,42:967. |
| [26] | D.FAN;L.-Q.CHEN .COMPUTER SIMULATION OF GRAIN GROWTH USING A CONTINUUM FIELD MODEL[J].Acta materialia,1997(2):611-622. |
| [27] | Wang Y;Chen L Q;Khachaturyan A G .Kinetics of straininduced morphological transformation in cubic alloys with a miscibility gap[J].Acta Materialia,1993,41:2794. |
| [28] | Chen L Q;Shen Jie .Applications of semi-implicit Fourierspectral method to phase field equations[J].Computer Physics Communications,1998,108:147. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%